Using the expansion of the exponent in the series of Bell polynomials [1]}, the expansion of \((1-x)^{-1}\)  in a Taylor series, and equating the coefficients on the left and right sides of Eq. (REF ), we obtain
\( Z_N =\sum _{n=0}^{N} \frac{1}{n!}B_{n}\left( \frac{1!~G_{2D}}{1^2}, \frac{2!~G_{2D}}{2^2},~...~, \frac{n!~G_{2D}}{n^2} \right),\) 
